Atkin-Lehner |
3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475q |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1259852958984375 = 38 · 510 · 7 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 6 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5249255,4630390872] |
[a1,a2,a3,a4,a6] |
j |
1404329736140140321/110604375 |
j-invariant |
L |
1.4772406961612 |
L(r)(E,1)/r! |
Ω |
0.36931017164123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825a2 16695m2 |
Quadratic twists by: -3 5 |